Math 334 Fall 2011
Outcome Statements
Homework Assignments
Supplemental Problems
Integrals Expected Known
Graphs for Selected Homework Problems
How to read the Outcome Statements
. The sections from the book we will use are listing in chronology
order.
In parenthesis following the title of each section is listed the expected number of class days to be
spent on that section. For each section there are listed four categories of information.
•
Outcomes: these are specific learning objectives, the things you are expected to learn.
•
Reading: this indicates the section from the book that you should read before class.
•
Homework: this gives a list of assigned homework problems from the book.
•
Outcome Mapping: this associates the learning outcome with the assigned homework problems. For
example, on the next page in the outcome mapping for the section “Some Basic Mathematical Models;
Direction Fields” you will find “A. 22” which means that problem 22 is associated with outcome
statement A, which is “Model physical processes using differential equations.”
You are encouraged to use these outcome statements in your preparation for exams. All of the questions on
the exams will be designed to test your achieving of a randomly selected subset of the learning objectives as
described in the outcomes statements. You can test yourself on each outcome statement by checking if you
can correctly do the assigned homework associated with that outcome statement.
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1
Some Basic Mathematical Models; Direction Fields (one day)
Outcomes
:
A. Model physical processes using differential equations.
B. Describe the behavior of the solutions of a differential equation by analyzing its slope field. Identify
any equilibrium solutions.
Reading
: Section 1.1
Homework
: 1.1: 1,5,22; Use the direction fields in this handout for #1,5
Outcome Mapping
:
A. 22
B. 1,5
2
Solutions of Some Differential Equations; Classification of Dif
ferential Equations (one day)
Outcomes
:
A. Solve basic initial value problems; obtain explicit solutions if possible.
B. Characterize the solutions of a differential equation with respect to initial values.
C. Use the solution of an initial value problem to answer questions about a physical system.
D. Determine the order of an ordinary differential equation. Classify an ordinary differential equation as
linear or nonlinear.
E. Verify solutions to ordinary differential equations.
F. Determine the order of a partial differential equation. Classify a partial differential equation as linear
or nonlinear.
G. Verify solutions to partial differential equations.
Reading
: Sections 1.2 and 1.3
Homework
: 1.2: 1,2,9,15;
1.3: 16,14,21,25; Use the phase portraits in this handout for #1,2
Outcome Mapping
:
A. 1.2: 1,2,15
B. 1.2: 1,2
C. 1.2: 9,15
D. 1.3: 16
E. 1.3: 14
F. 1.3: 21
G. 1.3: 25
3
Linear First Order Equations with Variable Coefficients (one
day)
Outcomes
:
A. Identify and solve first order linear equations.
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 Fall '08
 DALLON
 Differential Equations, Equations, Integrals, Homogeneous Linear Systems, linear homogeneous equations, outcome mapping

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